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4083328 = 27192373
BaseRepresentation
bin1111100100111010000000
321200110021101
433210322000
52021131303
6223304144
746464514
oct17447200
97613241
104083328
112339957
12144b054
13acc792
14784144
15559d1d
hex3e4e80

4083328 has 64 divisors (see below), whose sum is σ = 9057600. Its totient is φ = 1824768.

The previous prime is 4083307. The next prime is 4083341. The reversal of 4083328 is 8233804.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4083296 and 4083305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55900 + ... + 55972.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 24083328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528800).

4083328 is an abundant number, since it is smaller than the sum of its proper divisors (4974272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4083328 is a wasteful number, since it uses less digits than its factorization.

4083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4083328 is about 2020.7246225055. The cubic root of 4083328 is about 159.8348295507.

The spelling of 4083328 in words is "four million, eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 73 76 92 128 146 152 184 292 304 368 437 584 608 736 874 1168 1216 1387 1472 1679 1748 2336 2432 2774 2944 3358 3496 4672 5548 6716 6992 9344 11096 13432 13984 22192 26864 27968 31901 44384 53728 55936 63802 88768 107456 127604 177536 214912 255208 510416 1020832 2041664 4083328